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If the function $j(x)$ is defined only on domain $[-1,2]$, and is defined on this domain by the formula

\(j(x) = 2x^2 + 7\)

then what is the range of $j(x)$? Express your answer as an interval or as a union of intervals.

 Jun 7, 2022
 #1
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y = 2x^2  + 7

 

This is a parabola  that turns upward and has its vertex at (0, 7)

 

The max of the function  occurs at x = 2  and equals   2(2)^2 + 7 =  15

 

So......the range is    [7 , 15 ]   on the given interval

 

 

cool cool cool

 Jun 7, 2022

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